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Have a go at these arithmetic calculations....If there are no remainders then you have finished. If...

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1. 2,452 + 573 = 2. 30,000 - 700 = 3. 5 x 6 x 2 = 4. 720 ÷ 9 = Have a go at these arithmetic calculations.
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Page 1: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

1. 2,452 + 573 =

2. 30,000 - 700 =

3. 5 x 6 x 2 =

4. 720 ÷ 9 =

Have a go at these arithmetic calculations.

Page 2: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

157.5 – 38.69 =

_____ = 7

8x 6

1.

2.

3.

Complete as many of these as you can in 3 minutes:

Page 3: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Calculation

Calculate

Number sentence

Sign

Operation

Symbol

Inverse

Equation

Division

Divided by

Share

Can I apply what I have learnt to solve calculations?

Lesson 12

Personal Target: What are you going to focus on today?

- Read the calculation

- Check the operation you need to use

- Solve the calculation

- Check your answer

Page 4: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

We are going to do a little bit of practise with dividing and revising the strategies we can use to

solve division calculations.

Have a go at the questions on the following pages. Check the clue to help you choose the

correct strategy.

The strategy and answer for each question will appear on the next page to the question.

Page 5: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Try using the inverse for this question. ? X 7 = 42

Page 6: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

42 ÷ 7

▪ Use the inverse (x)▪ 7 times table knowledge: 7 x what = 42?

▪ 7 x 6 = 42▪ Therefore, 42 ÷ 7 = 6

Page 7: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Imagine that 480 was 48, solve that calculation and then multiply the answer by 10. This may make things

less scary!

Page 8: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

480 ÷ 8

▪ Ignore the 0 and work out 48 ÷ 8 = 6▪ Now remember the 0.

▪ 48 x 10 = 480▪ Multiply your answer of 6 by 10

▪ Therefore, 480 ÷ 8 = 60

Page 9: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: You need to use long division for this question.

Page 10: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

1275 ÷ 15▪ You need to use long division to solve this question.▪ First work out the 15 x table up to 9 x (if you need

to go that far)▪ How many times does 15 go into 1 = 0▪ Put 0 above the 1 in the answer▪ How many times does 15 go into 12 = 0▪ Put a 0 above the 2 in the answer▪ How many times does 15 go into 127?

▪ Look at your 15 times table. 8 x 15 = 120. 9 x 15

= 135 so this is too much.▪ Put 8 above the 7 in the answer▪ Subtract 120 from 127▪ Bring down the 5 from 1275 and put next to the 7▪ How many times does 15 go into 75?▪ Check your 15 times table: 75 ÷ 15 = 5▪ Put 5 next to the 8 in the answer▪ If there are no remainders then you have finished.▪ If you still have remainders, repeat previous steps.

1 X 15 = 152 X 15 = 303 X 15 = 454 X 15 = 605 X 15 = 756 X 15 = 907 X 15 = 1058 X 15 = 1209 X 15 = 135

008515 1275

- 1200075

Page 11: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Use the ‘bus stop method’ to help you here. Do you know your 5 times table?

Page 12: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

6970 ÷ 5

1 3 9 0

5 6 9 7 0

▪ You can use short division to solve this question.▪ How many times does 5 go into 6 = 1 with 1 left

over▪ Put 1 above the 6 in the answer▪ Carry the remainder of 1 over to the 9 to make 19▪ How many times does 5 go into 19? 3 times with a

remainder of 4▪ Put 3 above the 9 in the answer▪ Carry the remainder of 4 over to the 7 to make 47▪ How many times does 5 go into 47? 9 times with a

remainder of 2▪ Put 9 above the 7 in the answer▪ Carry the remainder of 2 over to the 0 to make 20.▪ How many times does 5 go into 20? 4 times with

no remainder.▪ Put 4 above the 0 in the answer.▪ If there are no remainders then you have finished.

1 4 2

Page 13: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: There should be NO REMAINDERS here!

Page 14: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

9810 ÷ 15▪ You need to use long division to solve this question.▪ First work out the 15 x table up to 9 x (if you need

to go that far)▪ How many times does 15 go into 9 = 0▪ Put 0 above the 9 in the answer▪ How many times does 15 go into 98?

▪ Look at your 15 times table. 6 x 15 = 90. 7 x 15

= 105 so this is too much.▪ Put a 6 above the 8 in the answer▪ Subtract 90 from 98▪ Bring down the 1 from 9810 and put next to the 8▪ How many times does 15 go into 81?▪ Check your 15 times table: 5 x 15 = 75▪ Put 5 next to the 6 in the answer▪ Subtract 75 from 81.▪ Bring down the 0 from 9810▪ How many times does 15 go into 60? 4▪ Put a 4 above the 0 in answer.▪ No remainders so finished.

1 X 15 = 152 X 15 = 303 X 15 = 454 X 15 = 605 X 15 = 756 X 15 = 907 X 15 = 1058 X 15 = 1209 X 15 = 135

0 6 5 415 9 8 1 0

- 9 00 8 1

- 7 56 0

7 1

Page 15: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Are we dividing or are we using our inverse and multiplying here?

Page 16: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

¼ ÷ 2

• The whole number 2 can be written as a fraction: 2

1• When dividing fractions,

remember the letters KCF: Keep, Change, Flip.

• Keep the first fraction the same.• Change ÷ to x• Flip the second fraction.• Multiply the numerators and

the denominators.

1 ÷ 2 = 1 ÷ 24 4 1

1 X 1 = 14 2 8

Page 17: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Use long division to solve this calculation.

Page 18: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

9143 ÷ 41▪ You need to use long division to solve this question.▪ First work out the 41 x table up to 9 x (if you need to go

that far – in this case I am first going up to 5 x 41)▪ How many times does 41 go into 9 = 0▪ Put 0 above the 9 in the answer▪ How many times does 41 go into 91?

▪ Look at your 41 times table. 2 x 41 = 82. 3 x 41 = 123

so this is too much.▪ Put a 2 above the 1 in the answer▪ Subtract 82 from 91▪ Bring down the 4 from 9143 and put next to the 9▪ How many times does 41 go into 94?▪ Check your 41 times table: 2 x 41 = 82▪ Put 2 next to the 2 in the answer▪ Subtract 82 from 94.▪ Bring down the 3 from 9143▪ How many times does 41 go into 123? 3▪ Put a 3 above the 3 in answer.▪ No remainders so finished.

1 X 41 = 412 X 41 = 823 X 41 = 1234 X 41 = 1645 X 41 = 205

0 2 2 341 9 1 4 3

- 8 20 9 4

- 8 21 2 3

18

Page 19: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Clue: Remember KCF!

Page 20: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

6 ÷ 28 • The whole number 2 can be

written as a fraction: 21

• When dividing fractions, remember the letters KCF: Keep, Change, Flip.

• Keep the first fraction the same.• Change ÷ to x• Flip the second fraction.• Multiply the numerators and

the denominators.• Simplify the answer if

necessary.

6 ÷ 2 = 6 ÷ 28 8 1

6 X 1 = 6 = 38 2 16 8

Page 21: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Your task:

Complete the questions on the worksheet.

Page 22: Have a go at these arithmetic calculations....If there are no remainders then you have finished. If you still have remainders, repeat previous steps. 1 X 15 = 15 2 X 15 = 30 3 X 15

Plenary:

Create 5 division questions (with answers) and send them to your teacher so they can include

them in future tests!

Rosen: [email protected]: [email protected]


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